Chaos in biological systems

edited by H. Degn, A.V. Holden, and L.F. Olsen

Proceedings of a NATO ARW held at Duffryn House, Cardiff, Wales, December 8-12, 1986

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[目次]

Chaos in Physiology: Health or Disease?.- Patterns of Activity in a Reduced Ionic Model of a Cell from the Rabbit Sinoatrial Node.- Oscillatory Plant Transpiration: Problem of a Mathematically Correct Model.- Bifurcations in a Model of the Platelet Regulatory System.- Chaos in a System of Interacting Nephrons.- Polypeptide Hormones and Receptors: Participants in and Products of a Two-parameter, Dissipative, Measure Preserving, Smooth Dynamical System in Hydrophobic Mass Energy.- Interplay Between Two Periodic Enzyme Reactions as a Source for Complex Oscillatory Behaviour.- Dynamics of Controlled Metabolic Network and Cellular Behaviour.- Periodic Forcing of a Biochemical System with Multiple Modes of Oscillatory Behaviour.- Periodic Behaviour and Chaos in the Mechanism of Intercellular Communication Governing Aggregation of Dictyostelium Amoebae.- Turbulent Morphogenesis of a Prototype Reaction-Diffusion System.- Periodic Solutions and Global Bifurcations for Nerve Impulse Equations.- Homoclinic and Periodic Solutions of Nerve Impulse Equations.- High Sensitivity Chaotic Behaviour in Sinusoidally Driven Hodgkin-Huxley Equations.- Forced Oscillations and Routes to Chaos in the Hodgkin-Huxley Axons and Squid Giant Axons.- Quantification of Chaos from Periodically Forced Squid Axons.- Chaos, Phase Locking and Bifurcation in Normal Squid Axons.- Chaos in Molluscan Neuron.- Pancreatic B-Cell Electrical Activity: Chaotic and Irregular Bursting Pattern.- Multiple Oscillatory States and Chaos in the Endogenous Activity of Excitable Cells: Pancreatic B-Cell as an Example.- Bifurcations in the Rose-Hindmarch and the Chay Model.- Dendritic Branching Patterns.- Chaos and Neural Networks.- Data Requirements for Reliable Estimation of Correlation Dimensions.- Chaotic Dynamics in Biological Information Processing: A Heuristic Outline.- Chaos in Ecology and Epidemiology.- Low Dimensional Storage Attractors in Epidemics of Childhood Diseases in Copenhagen, Denmark.- Periodicity and Chaos in Biological Systems: New Tools for the Study of Attractors.- Populations Under Periodically and Randomly Varying Growth Conditions.- Bi-fractal Basin Boundaries in Invertible Systems.- Homoclinic Bifurcations in Ordinary Differential Equations.- Characterization of Order and Disorder in Spatial Patterns.- Fractals, Intermittency and Morphogenesis.- Temperature Stability of Davydov Solitons.